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Simplifying 2(d + -7) = 3(d + -9) Reorder the terms: 2(-7 + d) = 3(d + -9) (-7 * 2 + d * 2) = 3(d + -9) (-14 + 2d) = 3(d + -9) Reorder the terms: -14 + 2d = 3(-9 + d) -14 + 2d = (-9 * 3 + d * 3) -14 + 2d = (-27 + 3d) Solving -14 + 2d = -27 + 3d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3d' to each side of the equation. -14 + 2d + -3d = -27 + 3d + -3d Combine like terms: 2d + -3d = -1d -14 + -1d = -27 + 3d + -3d Combine like terms: 3d + -3d = 0 -14 + -1d = -27 + 0 -14 + -1d = -27 Add '14' to each side of the equation. -14 + 14 + -1d = -27 + 14 Combine like terms: -14 + 14 = 0 0 + -1d = -27 + 14 -1d = -27 + 14 Combine like terms: -27 + 14 = -13 -1d = -13 Divide each side by '-1'. d = 13 Simplifying d = 13
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